The materials used were a pencil or pen, a Chinese Checkers board, and a computer opponent against which to play practice games. I started by analyzing my games, and noticed many recurrent strategies that were being used to advance ones marbles to the center. By combining these strategies, I formulated an opening repertoire that helps the player start off strong. To complement my repertoire, I created a middlegame strategy that guides the player to which plans he should undertake after the opening phase. Further analysis led me to discover certain formations that transport marbles across the board, which in turn served as the foundations of my vacancy test and finally my two-step technique.
I invented an opening repertoire and middlegame strategy which, when combined, created a two-step technique that can be used to devise a plan for penetrating the opposing formation.
I was able to successfully create an opening repertoire and formulate a novel strategy for finding the best plan(s) in a two player Chinese Checkers game. I then used the opening and strategy to create a two-step technique that enables a player to gain the advantage in a game, which met my initial need. In further research, I plan to extend my findings to multi-player Chinese Checkers games.
This Mathematical project creates an effective technique for penetrating the opponents formation and gaining an advantageous position in a two-player Chinese Checkers game.
Science Fair Project done By Prem M. Talwai